What is 1 4/5 \div 13/10 ?

The solution to 1 4/5 \div 13/10 is 1 5/13

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1 4/5 \div 13/10

1 \frac{4}{5} \div \frac{13}{10}

1 \frac{5}{13}

Solution steps

1 \frac{4}{5} \div \frac{13}{10}

Convert mixed numbers to improper fractions:

1 \frac{4}{5} = \frac{9}{5}

= \frac{9}{5} \div \frac{13}{10}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{9}{5} \times \frac{10}{13}

Cross-cancel common factor:

5

= \frac{9}{1} \times \frac{2}{13}

Multiply fractions:

\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}

= \frac{9 \times 2}{1 \times 13}

Multiply the numbers:

9 \times 2 = 18

= \frac{18}{1 \times 13}

Multiply the numbers:

1 \times 13 = 13

= \frac{18}{13}

Convert improper fractions to mixed numbers:

\frac{18}{13} = 1 \frac{5}{13}

= 1 \frac{5}{13}

100 g^{2} - 121 h^{2}

∣ 3 - 2 ∣

9 + 6 + \frac{4}{3}

9 - 6 w + 5

4 \frac{1}{2} + 1 \frac{2}{5}